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PRC-2 · Chapter 4 · Question 11 of 60

Given an objective function designed to minimize cost where C = 3x + 4y, and the corner points of the feasible region are (2, 5), (4, 1), and (0, 6). Which point yields the minimum cost?

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Reveal answer & explanation

Correct answer: B) (4, 1)

Explanation

Testing the points: At (2, 5), C = 3(2) + 4(5) = 26. At (4, 1), C = 3(4) + 4(1) = 16. At (0, 6), C = 3(0) + 4(6) = 24. The minimum cost is 16, which occurs at point (4, 1).

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